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Question 154835: The area of a triangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than its base. Use an equation and the formula area of a triangle 0.5(base)(height).
Click here to see answer by checkley77(12844)

Question 154866: Can someone help with this. #27. Violence and kindness. While watching television for one week, a consumer group counted 1240 acts of violence and 40 acts of kindness. What is the violence to kindness ratio for televison, according to this group?
Thanks
Click here to see answer by Earlsdon(6294)

Question 154918: The Chunnel connects the United Kingdom and France by a railway tunnel under the English Channel. The British started tunneling 2.5 months before the French and averaged 0.63 kilometers per month. The French averaged 0.47 kilometers per month. When the two sides met, they had tunneled 37.9 kilometers. How many kilometers of tunnel did each country build? If the French started tunnelingon February 28, 1988, approximately when did the two sides meet?
Click here to see answer by ankor@dixie-net.com(22740)

Question 154985: Karl Schmidt just scored a 96 on his last biology unit test. The mean score of the 36 students in his class was 78, and the standard deviation was 12. What is Karl�s z-score?
Click here to see answer by stanbon(75887)

Question 154982: Margaret Morris just correctly computed a standard deviation of 6.0 from a sample of 50 observations. What is the variance of Margaret�s sample?
Click here to see answer by oscargut(2103)

Question 155056: Please help. #47. Basketball blowout. As the final buzzer signaled the end of the basketball game, the Lions were 34 points ahead of the Tigers. If the Lions scored 5 points for every 3 scored by the Tigers, then what was the final score? Thank you
Click here to see answer by Earlsdon(6294)

Question 155182: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt �just on this trip�?
Click here to see answer by stanbon(75887)

Question 155214: Faith owns an organic apple orchard. From her experience the last few seasons, she has developed the formula P = 20x - 0.01x^2 -240 to predict her profit P in dollars this season if her trees produce x bushes of apples. What is Faith's predicted profit this season if her orchard produces 300 bushes of apples?

Please help me with this problems, I'm very awful when it come to word problems.
Thank-you.

This other one is a travel word problems:
Olivia drives her car at 60 miles per hour for t hours. Ian drives his car at 50 miles per hour for (t + 2) hours. write a simplified expression for the sum of the distances traveled by the two cars.

Click here to see answer by tkbk(1)

Question 155230: Chapter. 6 Math 209
BONUS: Word Problem.Please Help
Brenda and her husband Randy bicycled cross-country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered.
What was the speed of each cyclist?
Click here to see answer by scott8148(6628)

Question 155252: Consider x-8/x+5 divided by x-9/x+4.Explain why -5,9 and -4 are not allowable replacements for the varialbe x.
Click here to see answer by Earlsdon(6294)

Question 155235: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your solution?

Click here to see answer by ankor@dixie-net.com(22740)

Question 155253: The area of a trangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than it base. Use an equation and the formula: area of a triangle= 0.5(base)(height)
Click here to see answer by checkley77(12844)

Question 155286: A machine produces 164 bolts in 20 minutes. At the same rate, how many bolts would be produced in 35 minutes?
Click here to see answer by checkley77(12844)

Question 155319: HI! I REALLY LOVE SOLVING WORD PROBLEMS AND I LOVE MATH... I WOULD BE HAPPY TO KNOW THE SOLUTIONS FOR THE SAKE OF LEARNING IT.... THANK YOU
1.) VINCENT AND RICO CAN CEMENT A WALK TOGETHER FOR 7 DAYS. RICO LEAVES TO WORK LEAVING VINCENT TO FINISH THE REST IN 5 DAYS MORE. HOW LONG WILL IT TAKE VINCENT TO DO THE JOB ALONE?

2.1) IT TAKES A SMALLER FAUCET 5 HOURS TO FILL THE RESERVOIR WHILE A BIGGER FAUCET ONLY 2 HOURS. IF BOTH FAUCETS ARE OPENED SIMULTANEOUSLY, IN HOW MANY HOURS WILL THE RESERVOIR BE FILLED?
2.2) IF AFTER ONE HOUR THE BIGGER FAUCET IS CLOSED LEAVING THE SMALLER FAUCET TO FILL UP THE RESERVOIR, AFTER HOW MANY HOURS WILL IT TAKE FOR THE SMALLER FAUCET TO FILL THE RESERVOIR?
Click here to see answer by stanbon(75887)

Question 155387: Assume that the crust temperature increases by 30k for eack kilometer below earths's surface where the temperature is 300k. Calculate what the temperature would be at Earth's center if the rate of increase were the same below the crust as in it. The distance from the crust to the earth's center is 6371km
Click here to see answer by ankor@dixie-net.com(22740)

Question 155516: I have a solution of 3.1875 meters for this problem but it is in error. (I calculated height/distance from lamppost to the man as 8/15; calculated height/distance from man to end of shadow as 1.7/x). I appreciate your help!
A man is walking away from a lamppost with a light source 8 meters above the ground. The man is 1.7 meters tall. How long is the man's shadow when he is 15 meters from the lamppost?
Thanks, Linda
Click here to see answer by oscargut(2103)

Question 155496: In a bicylce race, Lionel gives Robert a 500 m advantafe. Also, Lionel agrees to start 15 min after Rivert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take lionel after he starts biking to overtake Robert?
Click here to see answer by ankor@dixie-net.com(22740)

Question 155811: Cansomeone help me with this? #44. Fast food. If four out of five doctors prefer fast food, then at a convention of 445 doctors, how many prefer fast food?
Thank you
Click here to see answer by jojo14344(1513)

Question 155817: The 2nd angle of a triangle is 6 times the 1st angle.If the 3rd angle is 45 degrees more than twice the 1st angle, find the measure of each?
Click here to see answer by HyperBrain(694)

Question 155824: Mary decide to focus on selling luxury cars and needed to sell off one line of sports care: LaMancinis. She held a clearance sale. The first week of the sale, she and her associates sold half the LaMancinis. The second week, they again sold half the remaining sports cars on the lot and one more. Mary and the other sales reps then each choose one of the remaining cars to keep, and there were none left over. How many cars were on the lot when the sale began?
Click here to see answer by stanbon(75887)

Question 155918: Find the value of k so that the equation below has the solution set {-5}.
4(x+3)=x(3-k)
so far i have this but my main problem is what is the definition of a solution set?
4x+12=3x-kx minus 3x from each side. x+12/x= -kx/x then -12/x=k
Click here to see answer by stanbon(75887)

Question 156006: a ticket master sold 480 tickets. the floor tickets were $30 each and upper $24 each. they made $13,200. how many of each ticket did they sell?
Click here to see answer by checkley77(12844)

Question 155967: I have been struggling to figure out this problem and I was wondering if someone would help me? I would deeply appreciate it! Please and Thank You!!
The three sides of an equilateral triangle are increased by 20 cm, 30 cm, and 40 cm, respectively. The perimeter of the resulting triangle is between twice and three times the perimeter of the original triangle. What can you conclude about the length of a side of the orginal triangle?
Click here to see answer by ilana(307)

Question 156076: A running track has the shape shown in the figure [oval], with straight sides and semicircular ends. If the length of the track is 380 meters and the two straight parts are each 140 meters long, what is the radius of the semicircular parts (to the nearest meter)?

What I tried:
(380-140)/2=120; wrong answer
Click here to see answer by oscargut(2103)

Question 156090: Can someone help please? # 80. Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures √6m. Find the width and height.
Thank you
Click here to see answer by stanbon(75887)

Question 156233: a piece of cloth must be cut to exactly cover a square table. The area of the table is 27ft suared. Find the length of the side of the table to the nearest tenth of a foot
Click here to see answer by nerdybill(7384)

Question 156391: In a particular course a student's semester grade is determined by the average of five hour tests. On her first four hour tests, a student's grades were 82 81 82 and 75. If her semester average turned out to be 82, what did she get on her fifth exam?
Click here to see answer by Alan3354(69443)

Question 156461: I have been stuck on this one for a couple hours and I've tried everything that I know how to to for it. I changed the numbers from the original problem. Can youshow me how to do this as an example, that way I can work it through on the real problem.
Suppose that 6 million pounds of coffee are sold when the price is $6 per pound, and 4.5 million pounds are sold whenthe price is $7 per pound.
(a) find a linear equation that expresses the amount (A) of coffee sold as a function of price (P).
(b) interpret the meaning of the slope of your equation in the context of this problem.
Click here to see answer by stanbon(75887)

Question 156474: Bob made an investment- some at 6% and three times as much at 10%. If his total annual investment income was 5400 dollars, how much did he invest at each rate?

Click here to see answer by gonzo(654)

Question 156247: I have been struggling on this problem for awhile now and I was wondering if someone could help me? I would deeply appreciate it. Please and Thank you!!
The telephone company offers two types of service. With Plan A, you can make an unlimited number of local calls per month for $18.50. With Plan B, you pay $6.50 monthly, plus 10 cents for each min of calls after the first 40 min. At least how many min would you have to use the telephone each month to make Plan A the better option?
Click here to see answer by ankor@dixie-net.com(22740)

Question 156475: Problem- I have 50,000 gallons of water. If the water is stored in a sphere, what must the radius of the sphere be? I'm trying to figure out the steps and conversions necessary to answer this problem.
Click here to see answer by gonzo(654)

Question 156486: Ted put $4000 in his savings account at Bank A. He put $6,000 in an account at Bank B that paid interest at twice the rate as Bank A. HIs total simple interest for the year was $640. What was the interest rate at each bank?
Click here to see answer by stanbon(75887)

Question 156508: Juan drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total time traveled is 2 1/4 hours.
a. write an expression for the time Juan takes to return home.
b. write and solve an equation for the time Juan spends driving to work.
Click here to see answer by stanbon(75887)

Question 156531: A wire 350 in. long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?
I am completely lost, have no idea where to start.
Click here to see answer by oscargut(2103)

Question 156570: A student was given the following problem: 4x^2 -9/4x^2 +12x + 9 divided by 6x -9 . He states his answer to the problem as 3(2x -3). Is he correct? If not, explain why. What would you suggest he do to solve the problem?

Click here to see answer by Edwin McCravy(20054)

Question 156528: The half-life of strontium-90 is 28 years. How long will it take a 44 mg sample to decay to a mass of 11 mg?
Click here to see answer by Fombitz(32388)

Question 156527: What quantity of 70 per cent acid solution must be mixed with a 20 percent solution to produce 700 mL of a 50 per cent solution?
Click here to see answer by checkley77(12844)

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